Problem 1

Part of 2020 Bangladesh Mathematical Olympiad National

Problems(1)

Probability relating to a 24-sided dice

Source: 2020 Bangladesh Mathematical Olympiad Problem 1

Lazim rolls two

24

-sided dice. From the two rolls, Lazim selects the die with the highest number.

N

is an integer not greater than

24

. What is the largest possible value for

N

such that there is a more than

50

% chance that the die Lazim selects is larger than or equal to

N

probabilitycombinatorics